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Finding the Fourth Proportional to 16,003.80, 22,438.13 and 16,003.80

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Solution

The fourth proportional to 16,003.80, 22,438.13 and 16,003.80 is: 22,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.80 : 22,438.13 = 16,003.80 : x
  2. Step 2: Convert to fraction form
    16,003.80/22,438.13 = 16,003.80/x
  3. Step 3: Cross multiply
    16,003.80x = 22,438.13 × 16,003.80
  4. Step 4: Simplify right side
    16,003.80x = 359,095,264.88
  5. Step 5: Solve for x
    x = 359,095,264.88/16,003.80
  6. Step 6: Final answer
    x = 22,438.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.